MinT - Information on Result #2775042

Information on Result #2775042

Linear OOA(3²¹⁵, 59, F₃, 4, 157) (dual of [(59, 4), 21, 158]-NRT-code), using strength reduction based on linear OOA(3²¹⁵, 59, F₃, 4, 159) (dual of [(59, 4), 21, 160]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁸⁷, 27, F₃, 4, 72) (dual of [(27, 4), 21, 73]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁸⁷, 28, F₃, 4, 72) (dual of [(28, 4), 25, 73]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,39P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁷, 32, F₃, 4, 86) (dual of [(32, 4), 21, 87]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,41P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.